Here, \(\pi ^{\mu \nu }=\Delta ^{\mu \nu }_{\alpha \beta }\delta T^{\alpha \beta }=2\eta \sigma ^{\mu \nu }\)  is the shear stress tensor. The expressions of first order field correction coefficients and the physical transport
coefficients bulk viscosity (\(\zeta \) ), thermal conductivity (\(\lambda \) ) and shear viscosity (\(\eta \) ) in MDRTA are given in [1]}. It has been checked that \(\zeta /\tau _R^0,\lambda /\tau _R^0,\eta /\tau _R^0>0\)  for all values of \(n\)  for various combinations of \(z(=m/T), T\)  and \({\mu }\) . They have been plotted in Fig.(REF ) (left panel) as a function of the scaled mass \(z\)  for several \(n\)  values.
Next, we observe that for any \(n\)  value, \(c^1_{\Omega }-c_{\Lambda }^1\big (\frac{\partial P_0}{\partial \epsilon _0}\big )_{{\rho }_0}-c^1_{\Gamma }\big (\frac{\partial P_0}{\partial {\rho }_0}\big )_{\epsilon _0}=-\zeta ,~c^1_{\Sigma }-\frac{(\epsilon _0+P_0)}{{\rho }_0}c^1_{\Xi }=-\frac{\lambda T}{\hat{h}}\) , such that,
\(\delta P^{(1)}-(\frac{\partial P_0}{\partial \epsilon _0})_{{\rho }_0}\delta \epsilon ^{(1)}-(\frac{\partial P_0}{\partial {\rho }_0})_{\epsilon _0}\delta {\rho }^{(1)}=\Pi ^{(1)},~W^{(1)\mu }-\hat{h}T V^{(1)\mu }=q^{(1)\mu }\) , with \(\Pi ^{(1)}\)  and \(q^{(1)\alpha }\)  as first order bulk viscous and diffusion flow. This shows that the individual correction coefficients combine to give the physical
transport coefficients as predicted by
[2]}. The coefficients of first order dissipative correction (scaled by physical transport coefficients) have been plotted for \(m=0.3\)  GeV and \(T=0.3\)  GeV as a function of \(n\)  in right panel of
Fig.(REF ). For momentum independent case \(n=0\) , \(c_{\Lambda }^1=c_{\Gamma }^1=c_{\Sigma }^1=0\) . \(c_{\Xi }^1\)  vanishes for \(n=1\)  with \(c_{\Lambda }^1=3c_{\Omega }^1\) . Fig.(REF ) shows that the
individual field corrections take how much fractional part of the dissipative flux, is decided by the value of \(n\) .
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